Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Weak and Strong DualityCovers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Linear Programming DualityExplores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Duality: Economic InterpretationExplores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.
Dual Space and Weak ConvergenceExplores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.
